M L Aggarwal Solutions for Chapter: Circle, Exercise 3: Check Your Progress

Draw a circle of radius $2.7\mathrm{cm}$. Draw a chord $PQ$ of length $4\mathrm{cm}$ of this circle. Shade the major segment of this circle.

Draw a circle of radius $3.2$ $\mathrm{cm}$ and in it make a sector of angle.

$30°$

Draw a circle of radius $3.2$ $\mathrm{cm}$ and in it make a sector of angle.

$135°$

Shade the sector.

Draw a circle of radius $3.2$ $\mathrm{cm}$ and in it make a sector of angle.

$2\frac{2}{3}$ right angles

Shade the sector.

Draw a line segment $PQ=6.4\mathrm{cm}$. Construct a circle on $PQ$ as diameter. Take any point $R$ on this circle and measure $\angle PRQ$.

In the adjoining figure, the tangent to a circle of radius $6 \mathrm{cm}$ from an external point $P$ is of length $8 \mathrm{cm}$. Calculate the distance of the point $P$ from the nearest point of the circumference.

In the given figure, $O$ is the centre of the circle. If $\angle ABP=35°$ and $\angle BAQ=65°$, find $\angle PAB$.

In the given figure, 0 is the centre of the circle. If $\angle ABP=35°$ and $\angle BAQ=65°$, find$\angle QBA$